/*
www-ATLAS of Group Representations.
U3(5):2 represented as 21 x 21 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000010000000000000000",
"000000100000000000000",
"001000000000000000000",
"000000000100000000000",
"000100000000000000000",
"000000000001000000000",
"000000000000100000000",
"000001000000000000000",
"000000000000001000000",
"000000010000000000000",
"000000001000000000000",
"000100100000020000000",
"000000000010000000000",
"000000000000000000001",
"000100012002120210001",
"002012101110222001000",
"000201112202100100102",
"111102022221110122221",
"000000000000000100000"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000100000000000000000",
"000001000000000000000",
"000000010000000000000",
"000000001000000000000",
"100210012000000000000",
"000000000010000000000",
"122022011000000000000",
"020022002000000000000",
"000000000000010000000",
"000000000000000100000",
"000000000000000010000",
"000000000000000001000",
"000000000000000000100",
"000000000000000000010",
"220201020000221101120",
"202200220001000100000",
"100002100012101110020",
"200001100221012020110",
"200022111200001200100",
"002000202011112110002"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is U3(5):2 < GL(21,GF(3))";